Number fields without universal quadratic forms of small rank exist in most degrees

Vítězslav Kala

doi:10.1017/s0305004122000214

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arXiv · 2101.10364

Number fields without universal quadratic forms of small rank exist in most degrees

Vítězslav Kala

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Abstract

We prove that in each degree divisible by 2 or 3, there are infinitely many totally real number fields that require universal quadratic forms to have arbitrarily large rank.

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Vítězslav Kala. 2021-01-25. Number fields without universal quadratic forms of small rank exist in most degrees. https://doi.org/10.1017/s0305004122000214

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